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Comptes Rendus Mathématique
Volume 346, n° 3-4
pages 125-128 (février 2008)
Doi : 10.1016/j.crma.2007.11.011
Received : 8 February 2007 ;  accepted : 19 November 2007
Grandes valeurs de la fonction  
Large values of the function  
 

Abdallah Derbal
Département de Mathematiques, École normale supérieure d’Alger, BP 92, Alger, Algérie 

Résumé

Soient   et   les fonctions sommes des diviseurs et somme des diviseur unitaires du nombre entier n . Un diviseur d d’un nombre entier n est dit unitaire s’il est premier avec le quotient   On étudie dans cette Note le comportement relatif de   et de son ordre maximum. Pour citer cet article : A. Derbal, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.
Abstract

Let   and   be the functions sum of divisors and sum of unitary divisors of an integer n . A divisor d of an integer number n is called unitary if it is prime with   In this Note we study the relative behavior of   and its maximum order. To cite this article: A. Derbal, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.


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